Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality
type: Item
instance of: scholarly article
title: Central extensions of word hyperbolic groups satisfy a quadratic isoperimetric inequality
zbMATH Open document ID: 0854.20049
DOI: 10.1007/BF01194161
author: G. Conner
published in: Archiv der Mathematik
publication date: 1997-01-22T00:00:00Z
review text: We calculate isoperimetric inequalities for central and nilpotent extensions of finitely presented groups. As applications of these results we prove that a central extension of a word hyperbolic group by a finitely generated abelian group satisfies simultaneous quadratic isoperimetric and linear isodiametric inequalities and we also calculate a new upper bound for isoperimetric inequalities of finitely generated nilpotent groups.
Mathematics Subject Classification ID: 20F65
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 20F18
zbMATH DE Number: 937037
zbMATH Keywords: isoperimetric inequalities
zbMATH Keywords: nilpotent extensions
zbMATH Keywords: finitely presented groups
zbMATH Keywords: central extensions
zbMATH Keywords: word hyperbolic groups
zbMATH Keywords: linear isodiametric inequalities
zbMATH Keywords: finitely generated nilpotent groups
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01194161
OpenAlex ID: W2056166432
description: scientific article; zbMATH DE number 937037